Theorem 2.3 
Consider the case of ().
Assume that [1]} holds. Then for any \(n\ge 1\)  there exists a \(\mathsf {C}<\infty \) , \(\kappa \in (0,1)\)  such that for any \(N\ge r_1\)  and \(t\ge 0\)  we have that
\(\mathbb {E}[\Vert m_{t}-\widehat{X}_t\Vert ^n]^{\tfrac{1}{n}} \le \frac{\mathsf {C}\kappa ^t}{\sqrt{N}}.\) 

